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Finding the Third Proportional to 712,356 and 1,109,382

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Solution

The third proportional to 712,356 and 1,109,382 is: 1,727,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,356 : 1,109,382 = 1,109,382 : x
  2. Step 2: Convert to fraction form
    712,356/1,109,382 = 1,109,382/x
  3. Step 3: Cross multiply
    712,356x = 1,109,382 × 1,109,382
  4. Step 4: Simplify right side
    712,356x = 1,230,728,421,924
  5. Step 5: Solve for x
    x = 1,230,728,421,924/712,356
  6. Step 6: Final answer
    x = 1,727,687.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.